2 papers
math.AP2026
Linear Asymptotic Stability of the Smooth 1-Solitons for the Degasperis-Procesi Equation
Simon Deng, Mathew A. Johnson, Stéphane Lafortune
In this paper, we study the asymptotic stability of smooth 1-solitons in the Degasperis-Procesi (DP) equation. Such solutions necessarily exist on a non-zero background, and their…
math.AP2025
Modulational Instability of Small Amplitude Periodic Traveling Waves in the Novikov Equation
Brett Ehrman, Mathew A. Johnson, Stéphane Lafortune
We study the spectral stability of smooth, small-amplitude periodic traveling wave solutions of the Novikov equation, which is a Camassa-Holm type equation with cubic nonlinearitie…